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Finding the Third Proportional to 277,760 and 414,814

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Solution

The third proportional to 277,760 and 414,814 is: 619,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,760 : 414,814 = 414,814 : x
  2. Step 2: Convert to fraction form
    277,760/414,814 = 414,814/x
  3. Step 3: Cross multiply
    277,760x = 414,814 × 414,814
  4. Step 4: Simplify right side
    277,760x = 172,070,654,596
  5. Step 5: Solve for x
    x = 172,070,654,596/277,760
  6. Step 6: Final answer
    x = 619,494.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.